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Soft Computing

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01.02.2014 | Methodologies and Application

Applying FARSJUM intelligent system to derive priorities in sparse hierarchical problems

verfasst von: M. R. Gholamian, S. M. T. Fatemi Ghomi, M. Ghazanfari

Erschienen in: Soft Computing | Ausgabe 2/2014

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Abstract

The analytic hierarchy process (AHP) is a decision analysis technique used to evaluate complex multi-criteria alternatives. In this paper, the fuzzy rule based system (FARSJUM) is introduced for especially sparse hierarchical problems to make decisions similar to AHP. The system is previously developed by the authors in sparse judgment matrices and in this paper an enhancement of the system in sparse hierarchical problems is brought. Numerical example is brought to show the applicability of the method and its advantages.

Vorheriger Artikel Neuro-fuzzy system with weighted attributes

Nächster Artikel Patent value analysis using support vector machines

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Altuzarra A, Moreno-Jiménez JM, Salvador M (2007) A Bayesian priorization procedure for AHP group decision making. Eur J Oper Res 182(1):367–382CrossRefMATH

Bernroider EWN, Maier K, Stix V (2010) Incomplete information within relative pairwise comparisons as utilized by the AHP. Lect Notes Business Inf Process 57(1):39–50CrossRef

Bozóki S, Fülöp J, Rónyai L (2010) On optimal completion of incomplete pairwise comparison matrices. Math Comput Model 52(1–2):318–333CrossRefMATH

Buckley JJ, Feuring T, Hayashi Y (1999) Fuzzy hierarchical analysis. IEEE int fuzzy syst proc 2:1009–1013

Buyukozkan G, Ertay T, Kahraman C, Ruan Da (2004) Determining the importance weights for the design requirements in the house of quality using the fuzzy analytic network approach. Int J Intell Syst 19(5):443–461CrossRef

Carmone FJ Jr, Kara A, Zanakis SH (1997) Monte Carlo investigation of incomplete pairwise comparison matrices in AHP. Eur J Oper Res 102(3):538–553CrossRefMATH

Dopazo E, González-Pachón J, Robles J (2005) A distance-based method for preference information retrieval in paired comparisons. Lect Notes Comput Sci 3646:66–73CrossRef

Durkin J, Durkin J (1998) Expert systems: design and development. Prentice Hall, New Jersey

Fattahi AA (2001) IUST’s faculties’ performance evaluation with integration of data envelopment analysis (DEA) and analytic hierarchical process (AHP). Industrial Engineering Department, IUST University

Fedrizzi M, Giove S (2007) Incomplete pairwise comparison and consistency optimization. Eur J Oper Res 183(1):303–313CrossRefMATH

Forman EH (1990) Random indices for incomplete pairwise comparison matrices. Eur J Oper Res 48(1):153–155CrossRef

Forman EH (1993) Facts and fictions about the analytic hierarchy process. Math Comput Model 17(4–5):19–26CrossRefMATH

Forman EH, Selly MA (2002) Decision by objectives. World Scientific, New Jersey

Gholamian MR, Fatemi Ghomi SMT, Ghazanfari M (2006) A hybrid intelligent system for multiobjective decision making problem. Comput Ind Eng 51(1):26–43CrossRef

Gholamian MR, Fatemi Ghomi SMT (2007a) Meta knowledge of intelligent manufacturing: an overview of state-of-the-art. Appl Soft Comput 7(1):1–16CrossRef

Gholamian MR, Fatemi Ghomi SMT, Ghazanfari M (2007b) FARSJUM, a fuzzy system for ranking sparse judgment matrices: a case study in soccer tournaments. Int J Uncertain, Fuzziness Knowl-Based Syst 15(1):115–129CrossRef

Gomez-Ruiz JA, Karanik M, Peláez JA (2010) Estimation of missing judgments in AHP pairwise matrices using a neural network-based model. Appl Math Comput 216(10):2959–2975CrossRefMATHMathSciNet

Harker PT (1987) Incomplete pairwise comparisons in the analytic hierarchy process. Math Model 9(11):837–848CrossRefMathSciNet

Hu Y-C, Tsai J-F (2006) Backpropagation multi-layer Perceptron for incomplete pairwise comparison matrices in analytic hierarchy process. Appl Math Comput 180(1):53–62CrossRefMATHMathSciNet

Hwang CL, Masud AS (1979) Multiple attributes decision-making; methods and applications: A state of the art survey. Springer, BerlinCrossRef

Jin X, Zhang Z, Wang C (2003) An improved AHP algorithm for scheme evaluation of a complex structure. In: Proceedings of the International Conference on Agile Manufacturing, Advances in Agile Manufacturing (ICAM 2003) (pp 139–144)

Kosko B (1997) Fuzzy engineering. Prentice Hal, New JerseyMATH

Lim KH, Swenseth SR (1993) An iterative procedure for reducing problem size in large scale AHP problems. Eur J Oper Res 67(1):64–74CrossRefMATH

Mikhaikov L, Singh S (2003) Fuzzy analytic network process and its application to the development of decision support systems. IEEE Trans Syst Man Cybern Part C Appl Rev 33(1):33–41CrossRef

Millet I, Saaty TL (2000) On the relativity of relative measures-accommodating both rank preservation and rank reversals in the AHP. Eur J Oper Res 121:205–212CrossRefMATH

Millet I, Harker PT, Patrick T (1990) Globally effective questioning in the analytic hierarchy process. Eur J Oper Res 48(1):88–97CrossRef

Nauck D, Kruse R (1998) How the learning of rule weights affects the interpretability of fuzzy systems. IEEE Int Conf Fuzzy Syst 2:1235–1240

Raharjo H, Endah D (2006) Evaluating relationship of consistency ratio and number of alternatives on rank reversal in the AHP. Qual Eng 18(1):39–46CrossRef

Saaty TL (1994) Highlights and critical points in the theory and application of the analytic hierarchy process. Eur J Oper Res 74(3):426–447CrossRefMATH

Saaty TL (1996) Multicriteria decision making. RWS Publishing, Boston

Saaty TL (2001) The Analytic network process: decision making with dependence and feedback, 2nd edn. RWS Publishing, Boston

Saaty TL (2003) Decision-making with the AHP: why is the principal eigenvector necessary. Eur J Oper Res 145(1):85–91CrossRefMATHMathSciNet

Saaty TL (2004) The analytic network process: Dependence and feedback in decision making (Part 1) theory and validation examples. In: The Proceedings of XVIIth International Conference on Multiple Criteria Decision Making (MCDM 2004), Whistler, BC, Canada

Saaty TL, Tran LT (2007) On the invalidity of fuzzifying numerical judgments in the Analytic Hierarchy Process. Math Comput Model 46(7–8):962–975CrossRefMATHMathSciNet

Saaty TL, Vargas LG (2000) Models, methods, concepts & applications of the analytic hierarchy process. International series in operations research and management science, vol 34. Kluwer, Boston

Siraj S, Mikhailov L, Keane JA (2012) Enumerating all spanning trees for pairwise comparisons. Comput Oper Res 39(2):191–199

Sugihara K, Ishii H, Tanaka H (2001) Fuzzy AHP with incomplete information. In: The proceedings of IFSA World Congress and 20th NAFIPS International Conference 5:2730–2733

Totsenko VG (2006) On problem of reversal of alternatives ranks while multicriteria estimating. J Autom Inf Sci 38(6):1–11CrossRef

Wang HF (2000) Fuzzy multicriteria decision making-an overview. J Intell Fuzzy Syst 9:61–83

Wang Y-M, Elhag TMS (2006) An approach to avoiding rank reversal in AHP. Decis Support Syst 42(3):1474–1480CrossRef

Wang T-C, Lin Y-L (2007) Incomplete fuzzy preference relations and the consistency. WSEAS Trans Inf Sci Applications 4(5):982–987

Wedley WC, Schoner B, Tang TS (1993) Starting rules for incomplete comparisons in the analytic hierarchy process. Math Comput Model 17(4–5):93–100CrossRefMATH

Zgurovsky MZ, Totsenko VG, Tsyganok VV (2004) Group incomplete paired comparisons with account of expert competence. Math Comput Model 39(4–5):349–361CrossRefMathSciNet

Zimmermann HJ (1996) Fuzzy set theory and its applications, 3rd edn. Kluwer, BostonCrossRefMATH

Titel: Applying FARSJUM intelligent system to derive priorities in sparse hierarchical problems
verfasst von: M. R. Gholamian
S. M. T. Fatemi Ghomi
M. Ghazanfari
Publikationsdatum: 01.02.2014
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 2/2014
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-013-1058-y

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